Finite Group Databasebeta

← #14926781

Subgroups — #14926781

Order 2816.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2#13076989C211yesmaximal, characteristic, complemented
3#13076981C211yesmaximal, characteristic, complemented
4#13076945C211yesmaximal, characteristic, complemented
5#13076919C211yesmaximal, characteristic, complemented
6#13074777C211yesmaximal, characteristic, complemented
7#13074767C211yesmaximal, characteristic, complemented
8#13074756C211yesmaximal, characteristic, complemented
9#13074744C211yesmaximal, characteristic, complemented
10#13073756C211yesmaximal, characteristic, complemented
11#13073743C211yesmaximal, characteristic, complemented
12#13073728C211yesmaximal, characteristic, complemented
13#13073711C211yesmaximal, characteristic, complemented
14#13073624C211yesmaximal, characteristic, complemented
15#13073574C211yesmaximal, characteristic, complemented
16#13073546C211yesmaximal, characteristic, complemented
17#13073505C211yesmaximal, characteristic, complemented
18#13073324C211yesmaximal, characteristic, complemented
19#13073288C211yesmaximal, characteristic, complemented
20#13072946C211yesmaximal, characteristic, complemented
21#13072749C211yesmaximal, characteristic, complemented
22#13072619C211yesmaximal, characteristic, complemented
23#13072590C211yesmaximal, characteristic, complemented
24#13072171C211yesmaximal, characteristic, complemented
25#13072158C211yesmaximal, characteristic, complemented
26#13071285C211yesmaximal, characteristic, complemented
27#13071270C211yesmaximal, characteristic, complemented
28C4×#66992C211yesmaximal, characteristic, complemented
29C2×#10622603C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#539C211yesmaximal, characteristic, complemented
32C11×#539—28no—
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#125C2211yescharacteristic, complemented
36C2×C11×#125C2211yescharacteristic, complemented
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic, complemented
40C2×C11×#123C2211yescharacteristic, complemented
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic, complemented
43C2×C11×C22⋊Q8C2211yescharacteristic, complemented
44C2×C11×#121C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C2×#67000C2211yescharacteristic
49C2×#66992C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×#66990C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×D4×Dic11C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×#66983C2211yescharacteristic
57C2×#66982C2211yescharacteristic
58C2×#66982C2211yescharacteristic
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×C4×C22⋊D11C2211yescharacteristic, complemented
61C22×(C2×D11)⋊C4C2211yescharacteristic
62C22×(C2×D11)⋊C4C2211yescharacteristic
63C22×(C2×D11)⋊C4C2211yescharacteristic
64C22×C4×Dic11C2211yescharacteristic
65C22×C4×Dic11C2211yescharacteristic, complemented
66#10623091—28no—
67C2×#66951C2211yescharacteristic
68C2×#66947C2211yescharacteristic
69C2×#66938C2211yescharacteristic
70C2×#66937C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66929C2211yescharacteristic
74C2×#66928C2211yescharacteristic
75#10622844C2211yescharacteristic
76#10622843C2211yescharacteristic, complemented
77#10622842C2211yescharacteristic, complemented
78#10622836C2211yescharacteristic
79#10622836C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic, complemented
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622824C2211yescharacteristic
87#10622823C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93#10622607C2211yescharacteristic
94#10622607C2211yescharacteristic
95#10622607C2211yescharacteristic
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic
98#10622605C2211yescharacteristic
99#10622605C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic
102#10622603C2211yescharacteristic
103#10622603C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622603C2211yescharacteristic
109#10622603C2211yescharacteristic
110#10622603C2211yescharacteristic
111#10622603C2211yescharacteristic
112#10622603C2211yescharacteristic
113#10622603C2211yescharacteristic
114#10622603C2211yescharacteristic
115#10622603C2211yescharacteristic
116#10622603C2211yescharacteristic
117#10622603C2211yescharacteristic, complemented
118#10622603C2211yescharacteristic, complemented
119#10622603C2211yescharacteristic, complemented
120#10622603C2211yescharacteristic, complemented
121#10622603C2211yescharacteristic, complemented
122#10622602C2211yescharacteristic, complemented
123#10622602C2211yescharacteristic, complemented
124#10622601C2211yescharacteristic
125#10622601C2211yescharacteristic
126#10622601C2211yescharacteristic
127#10622597C2211yescharacteristic, complemented
128#10622597C2211yescharacteristic, complemented
129#10622596C2211yescharacteristic, complemented
130#10622595C2211yescharacteristic, complemented
131#10622595C2211yescharacteristic, complemented
132#10622593C2211yescharacteristic, complemented
133#10622592C2211yescharacteristic, complemented
134#10622591C2211yescharacteristic, complemented
135#10622591C2211yescharacteristic, complemented
136#10622590C2211yescharacteristic, complemented
137C4⋊C4×Dic11C2211yescharacteristic, complemented
138C4⋊C4×Dic11C2211yescharacteristic, complemented
139#10622587C2211yescharacteristic, complemented
140#10622587C2211yescharacteristic, complemented
141#10622585C2211yescharacteristic, complemented
142#10622585C2211yescharacteristic, complemented
143#10622585C2211yescharacteristic, complemented
144#10622585C2211yescharacteristic, complemented
145#10622585C2211yescharacteristic, complemented
146#10622585C2211yescharacteristic, complemented
147#10622574C2211yescharacteristic
148#10622574C2211yescharacteristic, complemented
149#10622573C2211yescharacteristic
150#10622573C2211yescharacteristic
151#10622572C2211yescharacteristic
152#10622572C2211yescharacteristic
153#10622572C2211yescharacteristic
154#10622572C2211yescharacteristic, complemented
155#10622571C2211yescharacteristic
156#10622571C2211yescharacteristic
157#10622571C2211yescharacteristic
158#10622571C2211yescharacteristic
159#10622571C2211yescharacteristic, complemented
160#10622571C2211yescharacteristic, complemented
161#10622570C2211yescharacteristic
162#10622570C2211yescharacteristic
163#10622570C2211yescharacteristic
164#10622570C2211yescharacteristic
165#10622570C2211yescharacteristic
166#10622570C2211yescharacteristic, complemented
167#10622568C2211yescharacteristic
168#10622566C2211yescharacteristic, complemented
169#10622565C2211yescharacteristic, complemented
170#10622565C2211yescharacteristic, complemented
171#10622560C2211yescharacteristic, complemented
172#10622559C2211yescharacteristic
173#10622558C2211yescharacteristic, complemented
174#10622558C2211yescharacteristic, complemented
175#10622558C2211yescharacteristic, complemented
176#10622558C2211yescharacteristic, complemented
177#10622555C2211yescharacteristic
178#10622555C2211yescharacteristic, complemented
179C22⋊C4×Dic11C2211yescharacteristic
180C22⋊C4×Dic11C2211yescharacteristic
181C22⋊C4×Dic11C2211yescharacteristic, complemented
182C22⋊C4×Dic11C2211yescharacteristic, complemented
183#10622553C2211yescharacteristic
184#10622553C2211yescharacteristic
185C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
186C4×C4⋊Dic11C2211yescharacteristic, complemented
187C4×Dic11⋊C4C2211yescharacteristic, complemented
188C42×Dic11C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#126—24no—
216C11×#126—24no—
217C11×#125—24no—
218C11×#125—24no—
219C11×#123—24no—
220C11×#123—24no—
221C11×#123—24no—
222C11×#123—24no—
223C11×C22⋊Q8—24no—
224C11×C22⋊Q8—24no—
225C11×C22⋊Q8—24no—
226C11×#121—24no—
227C4×D4×C11—24no—
228C4×D4×C11D418yescomplemented
229C2×C11×C4⋊C4—24no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267#67000—42no—
268#66992—24no—
269#66992—24no—
270#66992—42no—
271#66990—24no—
272#66990—24no—
273D4×Dic11—24no—
274D4×Dic11—24no—
275#66983—24no—
276#66982—24no—
277#66982—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—42no—
280C2×(C2×D11)⋊C4—24no—
281C2×(C2×D11)⋊C4—24no—
282C2×(C2×D11)⋊C4—42no—
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×C4×Dic11—42no—
331C2×C4×Dic11—42no—
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345#66951—24no—
346#66947—24no—
347#66938—24no—
348#66937—24no—
349#66935—24no—
350#66931—24no—
351#66929—24no—
352#66928—24no—
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#35009—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11C2×D414yes—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11C2×D414yes—
425C22×C4×C11C2×D414yes—
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11#4114yes—
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×C4×D11—22no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×Dic22—22no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—22no—
511C11×C4⋊C4—22no—
512C11×C4⋊C4C2×D414yes—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4C2×D414yes—
522C11×C22⋊C4C2×D414yes—
523C42×C11—22no—
524C42×C11C2×D414yes—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11#4114yes—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—41no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C2×#539D1111yescharacteristic, complemented
597C2×#538—111no—
598#2861—111no—
599#2860—111no—
600#2854—111no—
601#2850—111no—
602#2664—111no—
603#2663—111no—
604#2662—111no—
605#2661—111no—
606#2560—111no—
607#2559—111no—
608#2558—111no—
609#2557—111no—
610#2549—111no—
611#2543—111no—
612#2539—111no—
613#2534—111no—
614#2521—111no—
615#2519—111no—
616#2488—111no—
617#2472—111no—
618#2464—111no—
619#2461—111no—
620#2425—111no—
621#2424—111no—
622#2322—111no—
623#2321—111no—
624C4×#121—111no—
625C2×#388—111no—
626C42×D4—111no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11C22×D412yes—
645C23×C11C22×D412yes—
646C23×C11C2×#4112yes—
647C23×C11C2×#4112yes—
648C23×C11C2511yescharacteristic
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—82no—
674C22×D11—82no—
675C22×D11—82no—
676C22×D11—82no—
677Q8×C11—82no—
678D4×C11—28no—
679D4×C11—44no—
680D4×C11—82no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—44no—
713C2×C4×C11—44no—
714C2×C4×C11—44no—
715C2×C4×C11—82no—
716C2×C4×C11—82no—
717C2×C4×C11C22×D412yes—
718C2×C4×C11C22×D412yes—
719C2×C4×C11C22×D412yes—
720C2×C4×C11C22×D412yes—
721C2×C4×C11C22×D412yes—
722C22⋊D11—44no—
723C22⋊D11—44no—
724C22⋊D11—82no—
725C22⋊D11—82no—
726C22⋊D11—82no—
727C22⋊D11—82no—
728C22⋊D11—82no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—44no—
764C2×Dic11—44no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—82no—
768C2×Dic11C2×#4112yes—
769C2×Dic11C2×#4112yes—
770C2×Dic11C2×#4112yes—
771C2×Dic11C2×#4112yes—
772C2×Dic11H(5,𝔽2)12yes—
773D44—82no—
774D44—82no—
775C4×D11—82no—
776Dic22—82no—
777#539—28no—
778#538—228no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126C2×D1111yescharacteristic, complemented
782C2×#126C2×D1111yescharacteristic, complemented
783C2×#125C2×D1111yescharacteristic, complemented
784C2×#125C2×D1111yescharacteristic, complemented
785C2×#124—111no—
786C2×#124—111no—
787C2×#124—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123C2×D1111yescharacteristic
792C2×#123C2×D1111yescharacteristic
793C2×#123C2×D1111yescharacteristic, complemented
794C2×#123C2×D1111yescharacteristic, complemented
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8C2×D1111yescharacteristic
797C2×C22⋊Q8C2×D1111yescharacteristic, complemented
798C2×C22⋊Q8C2×D1111yescharacteristic, complemented
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121C2×D1111yescharacteristic
805C2×#120—111no—
806C2×#120—111no—
807C2×#120—111no—
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4C2×D1111yescharacteristic
813C2×C4×D4C2×D1111yescharacteristic
814C22×C4⋊C4C2×D1111yescharacteristic
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#393—111no—
847#393—111no—
848#392—111no—
849#392—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#391—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#387—111no—
897#387—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#382—111no—
915#381—111no—
916#380—111no—
917#380—111no—
918#379—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11#53214yes—
955C22×C11C23×D411yescharacteristic
956C22×C11C22×#4111yescharacteristic
957C22×C11C22×#4111yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11#58511yescharacteristic
960C22×C11#58511yescharacteristic
961C22×C11#58511yescharacteristic
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—88no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25—111no—
1010C22×Q8—111no—
1011C22×Q8C22×D1111yescharacteristic
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4C22×D1111yescharacteristic
1031C23×C4C22×D1111yescharacteristic
1032C23×C4C22×D1111yescharacteristic
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—24no—
1036#126—24no—
1037#126—224no—
1038#126—224no—
1039#125—24no—
1040#125—24no—
1041#124—224no—
1042#124—224no—
1043#124—442no—
1044#123—24no—
1045#123—24no—
1046#123—24no—
1047#123—24no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—24no—
1052C22⋊Q8—24no—
1053C22⋊Q8—24no—
1054C22⋊Q8—224no—
1055#121—24no—
1056#121—224no—
1057#121—224no—
1058#121—224no—
1059#121—224no—
1060#121—442no—
1061#120—224no—
1062#120—224no—
1063#120—224no—
1064C4×D4—24no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—224no—
1068C4×D4—442no—
1069C4×D4C22⋊D1118yescomplemented
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C4⋊C4C22×D1111yescharacteristic
1091C2×C4⋊C4C22×D1111yescharacteristic
1092C2×C4⋊C4C22×D1111yescharacteristic
1093C2×C4⋊C4C22×D1111yescharacteristic
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—224no—
1145C2×C22⋊C4—442no—
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—442no—
1170C2×C42—442no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205C2×C11—24no—
1206C2×C11—42no—
1207C2×C11—81no—
1208C2×C11C2×#53211yescharacteristic
1209C2×C11#345511yescharacteristic
1210C2×C11#345911yescharacteristic
1211C2×C11#349611yescharacteristic
1212C2×C11#350011yescharacteristic
1213C2×C11#351311yescharacteristic
1214C2×C11#352111yescharacteristic
1215D11—81no—
1216D11—81no—
1217D11—81no—
1218C24—111no—
1219C24—111no—
1220C24—111no—
1221C24—222no—
1222C24—222no—
1223C24—222no—
1224C24—441no—
1225C24—441no—
1226C24—441no—
1227C24—441no—
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—41no—
1233C2×Q8—41no—
1234C2×Q8—222no—
1235C2×Q8—441no—
1236C2×Q8—441no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4C2×C22⋊D1114yes—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—114no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4C2×C22⋊D1114yes—
1318C22×C4C2×C22⋊D1114yes—
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—441no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4C2×C22⋊D1114yes—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—114no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4C2×C22⋊D1114yes—
1412C22⋊C4C2×C22⋊D1114yes—
1413C42—22no—
1414C42—222no—
1415C42—222no—
1416C42—222no—
1417C42—222no—
1418C42—222no—
1419C42—222no—
1420C42—441no—
1421C42—441no—
1422C42—441no—
1423C42—441no—
1424C42—441no—
1425C42—441no—
1426C42—441no—
1427C42C2×C22⋊D1114yes—
1428C11#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—444no—
1468C23—444no—
1469C23—444no—
1470C23—882no—
1471C23—882no—
1472C23—882no—
1473C23—882no—
1474C23#41×D1112yes—
1475C23#41×D1112yes—
1476C23C22×C22⋊D1112yes—
1477C23C22×C22⋊D1112yes—
1478C23C24×D1111yescharacteristic
1479Q8—82no—
1480Q8—882no—
1481D4—28no—
1482D4—44no—
1483D4—82no—
1484D4—444no—
1485D4—444no—
1486D4—882no—
1487D4—882no—
1488D4—882no—
1489D4—882no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—112no—
1533C2×C4—112no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—882no—
1573C2×C4—882no—
1574C2×C4C22×C22⋊D1112yes—
1575C2×C4C22×C22⋊D1112yes—
1576C2×C4C22×C22⋊D1112yes—
1577C2×C4C22×C22⋊D1112yes—
1578C2×C4C22×C22⋊D1112yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—441no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—888no—
1621C22#1062336314yes—
1622C22C2×#41×D1111yescharacteristic
1623C22C2×#41×D1111yescharacteristic
1624C22D11×H(5,𝔽2)11yescharacteristic
1625C22#1062345511yescharacteristic
1626C22#1062345711yescharacteristic
1627C22#1062345711yescharacteristic
1628C22C23×C22⋊D1111yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—222no—
1645C4—222no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—881no—
1658C2—881no—
1659C2—881no—
1660C2C2×#1062336311yescharacteristic
1661C2#1308200211yescharacteristic
1662C2#1308202411yescharacteristic
1663C2#1308237511yescharacteristic
1664C2#1308241011yescharacteristic
1665C2#1308254611yescharacteristic
1666C2#1308267411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#539C2
hypercenterC2×#539D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. #13076989C2semidirect
3. #13076981C2semidirect
4. #13076945C2semidirect
5. #13076919C2semidirect
6. #13074777C2semidirect
7. #13074767C2semidirect
8. #13074756C2semidirect
9. #13074744C2semidirect
10. #13073756C2semidirect
11. #13073743C2semidirect
12. #13073728C2semidirect
13. #13073711C2semidirect
14. #13073624C2semidirect
15. #13073574C2semidirect
16. #13073546C2semidirect
17. #13073505C2semidirect
18. #13073324C2semidirect
19. #13073288C2semidirect
20. #13072946C2semidirect
21. #13072749C2semidirect
22. #13072619C2semidirect
23. #13072590C2semidirect
24. #13072171C2semidirect
25. #13072158C2semidirect
26. #13071285C2semidirect
27. #13071270C2semidirect
28. C4×#66992C2semidirect
29. C2×#10622603C2semidirect
30. C4×D4×Dic11C2semidirect
31. C2×C11×#539C2semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#125C22semidirect
36. C2×C11×#125C22semidirect
39. C2×C11×#123C22semidirect
40. C2×C11×#123C22semidirect
42. C2×C11×C22⋊Q8C22semidirect
43. C2×C11×C22⋊Q8C22semidirect
60. C2×C4×C22⋊D11C22semidirect
65. C22×C4×Dic11C22semidirect
76. #10622843C22semidirect
77. #10622842C22semidirect
79. #10622836C22semidirect
82. #10622833C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
96. #10622607C22semidirect
117. #10622603C22semidirect
118. #10622603C22semidirect
119. #10622603C22semidirect
120. #10622603C22semidirect
121. #10622603C22semidirect
122. #10622602C22semidirect
123. #10622602C22semidirect
127. #10622597C22semidirect
128. #10622597C22semidirect
129. #10622596C22semidirect
130. #10622595C22semidirect
131. #10622595C22semidirect
132. #10622593C22semidirect
133. #10622592C22semidirect
134. #10622591C22semidirect
135. #10622591C22semidirect
136. #10622590C22semidirect
137. C4⋊C4×Dic11C22semidirect
138. C4⋊C4×Dic11C22semidirect
139. #10622587C22semidirect
140. #10622587C22semidirect
141. #10622585C22semidirect
142. #10622585C22semidirect
143. #10622585C22semidirect
144. #10622585C22semidirect
145. #10622585C22semidirect
146. #10622585C22semidirect
148. #10622574C22semidirect
154. #10622572C22semidirect
159. #10622571C22semidirect
160. #10622571C22semidirect
166. #10622570C22semidirect
168. #10622566C22semidirect
169. #10622565C22semidirect
170. #10622565C22semidirect
171. #10622560C22semidirect
173. #10622558C22semidirect
174. #10622558C22semidirect
175. #10622558C22semidirect
176. #10622558C22semidirect
178. #10622555C22semidirect
181. C22⋊C4×Dic11C22semidirect
182. C22⋊C4×Dic11C22semidirect
185. C4×(C2×D11)⋊C4C22semidirect
186. C4×C4⋊Dic11C22semidirect
187. C4×Dic11⋊C4C22semidirect
188. C42×Dic11C22semidirect
228. C4×D4×C11D4semidirect
596. C2×#539D11semidirect
781. C2×#126C2×D11semidirect
782. C2×#126C2×D11semidirect
783. C2×#125C2×D11semidirect
784. C2×#125C2×D11semidirect
793. C2×#123C2×D11semidirect
794. C2×#123C2×D11semidirect
797. C2×C22⋊Q8C2×D11semidirect
798. C2×C22⋊Q8C2×D11semidirect
1069. C4×D4C22⋊D11semidirect
1428. C11#35009semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#106230912
#130769892
#130769812
#130769452
#130769192
#130747772
#130747672
#130747562
#130747442
#130737562
#130737432
#130737282
#130737112
#130736242
#130735742
#130735462
#130735052
#130733242
#130732882
#130729462
#130727492
#130726192
#130725902
#130721712
#130721582
#130712852
#130712702
C4×#669922
C2×#106226032
C4×D4×Dic112
C2×C11×#5392
#3500911